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13. Two point charges are fixed on the y color=\"#231f20\" face=\"times-italic\"

ID: 2125346 • Letter: 1

Question

13. Two point charges are fixed on the y color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">axis: a negative point charge color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">

q1- 25 ucolor="#231f20" face="mathpioneitalic" size="1">color="#231f20" face="mathpioneitalic" size="1">color="#231f20" face="mathpioneitalic" size="1">C at ycolor="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">1 0.22 m and a positive point charge qcolor="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">2 at color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">

y2 0.34 m. A third point charge qcolor="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1"> 8.4 ucolor="#231f20" face="mathpioneitalic" size="1">color="#231f20" face="mathpioneitalic" size="1">color="#231f20" face="mathpioneitalic" size="1">C is fixed at the origin.

The net electrostatic force exerted on the charge q color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">by the other two

charges has a magnitude of 27 N and points in the y color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">direction.color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">style="font-size: large;">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="mathematicalpi-one" size="1">color="#231f20" face="mathematicalpi-one" size="1">color="#231f20" face="mathematicalpi-one" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">style="font-size: large;">

Determine the magnitude of qcolor="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">color="#231f20" face="times-italic" size="1">2.color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">color="#231f20" face="times-roman" size="1">style="font-size: large;">style="font-size: small;">

Explanation / Answer

equating forces,

9*10^9*8.4*10^-6*25*10^-6/0.22^2-9*10^9*8.4*10^-6*q2/0.34^2 = 27


So, q2 = 1.84*10^-5 C <-------------answer

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